Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376cz |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-1298202562577088 = -1 · 26 · 33 · 78 · 194 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39510,-3497796] |
[a1,a2,a3,a4,a6] |
Generators |
[366:5586:1] |
Generators of the group modulo torsion |
j |
-905915267776/172414683 |
j-invariant |
L |
3.8216169023756 |
L(r)(E,1)/r! |
Ω |
0.16758713594551 |
Real period |
R |
0.95015668526695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376j1 12768l1 |
Quadratic twists by: -4 -7 |